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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 18 — Aug. 27, 2012
  • pp: 20043–20058

Optics InfoBase > Optics Express > Volume 20 > Issue 18 > Page 20043

Modal theory of slow light enhanced third-order nonlinear effects in photonic crystal waveguides

Tao Chen, Junqiang Sun, and Linsen Li  »View Author Affiliations


Optics Express, Vol. 20, Issue 18, pp. 20043-20058 (2012)
http://dx.doi.org/10.1364/OE.20.020043


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Abstract

In this paper, we derive the couple-mode equations for third-order nonlinear effects in photonic crystal waveguides by employing the modal theory. These nonlinear interactions include self-phase modulation, cross-phase modulation and degenerate four-wave mixing. The equations similar to that in nonlinear fiber optics could be expanded and applied for third-order nonlinear processes in other periodic waveguides. Based on the equations, we systematically analyze the group-velocity dispersion, optical propagation loss, effective interaction area, slow light enhanced factor and phase mismatch for a slow light engineered silicon photonic crystal waveguide. Considering the two-photon and free-carrier absorptions, the wavelength conversion efficiencies in two low-dispersion regions are numerically simulated by utilizing finite difference method. Finally, we investigate the influence of slow light enhanced multiple four-wave-mixing process on the conversion efficiency.

© 2012 OSA

OCIS Codes
(160.6000) Materials : Semiconductor materials
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
(190.4223) Nonlinear optics : Nonlinear wave mixing
(130.5296) Integrated optics : Photonic crystal waveguides

ToC Category:
Nonlinear Optics

History
Original Manuscript: March 23, 2012
Revised Manuscript: May 13, 2012
Manuscript Accepted: August 6, 2012
Published: August 17, 2012

Citation
Tao Chen, Junqiang Sun, and Linsen Li, "Modal theory of slow light enhanced third-order nonlinear effects in photonic crystal waveguides," Opt. Express 20, 20043-20058 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-18-20043


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